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Math Help - Gamma Distribution

  1. #1
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    Exclamation Gamma Distribution

    Hi, I need help with the following:

    If X has the gamma distribution with θ = 4 and α = 2, find P(X < 5).


    So far I have plugged in the numbers into the formula, but I am not sure if what I am doing is correct.

    f(x) = [1/(Γ(2)4^2]x^(2-1)e^(-x/4)

    Does Γ(2) have a value?

    afterwards should I integrate f(x) from -infinity to 5?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by MathRules! View Post
    Hi, I need help with the following:

    If X has the gamma distribution with θ = 4 and α = 2, find P(X < 5).


    So far I have plugged in the numbers into the formula, but I am not sure if what I am doing is correct.

    f(x) = [1/(Γ(2)4^2]x^(2-1)e^(-x/4)

    Does Γ(2) have a value?

    afterwards should I integrate f(x) from -infinity to 5?
    \Gamma(x) is the gamma function which for positive integer arguments is related to the factorial by:

    \Gamma(n)=(n-1)!

    so:

    \Gamma(2)=(2-1)!=1!=1

    CB
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